Least Common Multiple (LCM) of 58 and 152
The least common multiple (LCM) of 58 and 152 is 4408.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 58 and 152?
First, calculate the GCD of 58 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 152 = 0 remainder 58 |
| 2 | 152 ÷ 58 = 2 remainder 36 |
| 3 | 58 ÷ 36 = 1 remainder 22 |
| 4 | 36 ÷ 22 = 1 remainder 14 |
| 5 | 22 ÷ 14 = 1 remainder 8 |
| 6 | 14 ÷ 8 = 1 remainder 6 |
| 7 | 8 ÷ 6 = 1 remainder 2 |
| 8 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 59 | 10325 |
| 88 and 106 | 4664 |
| 16 and 33 | 528 |
| 128 and 89 | 11392 |
| 75 and 121 | 9075 |